Theorems · Theorem · field theory
Cubic.map_toPoly
∀ {R : Type u_1} {S : Type u_2} {P : Cubic R} [inst : Semiring R] [inst_1 : Semiring S] {φ : R →+* S},
(Cubic.map φ P).toPoly = Polynomial.map φ P.toPoly- Defined in
- Mathlib.Algebra.CubicDiscriminant
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement and proof · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.mapstatement · cited by 806
- Polynomial.map_Xproof · cited by 122
- Polynomial.map_Cproof · cited by 107
- Polynomial.map_mulproof · cited by 90
- Cubic.toPolystatement · cited by 88
- Cubicstatement and proof · cited by 71
Cited by3
Results whose statement or proof uses this declaration.
- Cubic.splits_iff_card_rootsproof · cited by 2
- Cubic.map_rootsproof · cited by 1
- Cubic.eq_prod_three_rootsproof · cited by 1